The article introduces new principles of the organization of education as a category of pedagogical reality and science within the A. S. Makarenkopedagogy by. The substantiation of the unclosed list of principles of education, the generation of principles by cross-cutting tasks of society is given. The connection of the principles of education with the needs and values of society is revealed, the principles of education of Makarenko are formulated and their content is disclosed. The term «rules of education» introduced into circulation and their formulation are given.

The article discusses the feasibility of introducing Internet technologies into the educational process when conducting extracurricular activities, in particular, student olympiads in mathematics as part of the process of digitalization of education. The place of the subject olympiads in the system of higher education is analyzed, as well as the role of the olympiad as an environment for the development of digitalization tools. The experience of organizing student mathematical Olympiads using digital distance technologies is presented and considered.

This article focuses on digital storytelling technology in foreign language (FL) classes for non-linguistic students. The application of this technology develops varied surveys, both organizational and communicative skills for students. In practical foreign language classes, students engage in the creation of digital storytelling, and thereby investigate the learning material more successfully, thus increasing their academic performance. In the process of working on this technology it also helps to increase the level of students’ multimodal literacy.